What is the domain of f(x)=(sqrt(5x+3))/(x+7) ?

The domain of f(x)=(sqrt(5x+3))/(x+7) is x>=-3/5

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domain of f(x)=(sqrt(5x+3))/(x+7)

domain

x \geq - \frac{3}{5}

Interval Notation

[- \frac{3}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{3}{5}

Find undefined (singularity) points:

x = - 7

Combine real regions and undefined points for final function domain

x \geq - \frac{3}{5}

What is the domain of f(x)=(sqrt(5x+3))/(x+7) ?
The domain of f(x)=(sqrt(5x+3))/(x+7) is x>=-3/5